Lecture 14 . Hopf Algebras and Combinatorics (Federico Ardila)
Автор: Federico Ardila
Загружено: 2012-11-06
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Описание:
Lecture 14: Repertoire of Hopf Algebras. Hereditary families and incidence Hopf algebras are important tools for studying a lot of examples of Hopf algebras. See paper by Schmitt mentioned above for more details.
Topics: H(P) = Incidence Hopf algebra of a poset P mod reduced congruence (0:01:05)
p. 52
Examples:
(1) All finite intervals mod isomorphism or not (0:24:12), not in notes.
(2) Binomial Hopf algebras = finite Boolean algebras (0:26:30) p. 54
(Thanks to Sara Billey for the lecture index!)
Lecture notes at: http://math.sfsu.edu/federico/Clase/H...
San Francisco State University (San Francisco, USA)
Universidad de Los Andes (Bogota, Colombia)
Spring 2012
Partially supported by:
US National Science Foundation CAREER Award DMS-0956178
US National Science Foundation Grant DMS-0801075
SFSU-Colombia Combinatorics Initiative.
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